Q: What are the factor combinations of the number 3,655,355?

 A:
Positive:   1 x 36553555 x 73107111 x 33230541 x 8915555 x 66461205 x 17831451 x 81051621 x 2255
Negative: -1 x -3655355-5 x -731071-11 x -332305-41 x -89155-55 x -66461-205 x -17831-451 x -8105-1621 x -2255


How do I find the factor combinations of the number 3,655,355?

Unfortunately, there's not simple formula to identifying all of the factors of a number and it can be a tedious process when trying to identify the divisors of larger numbers. To find the factor combinations of the number 3,655,355, it is easier to work with a table - it's called factoring from the outside in.

Outside in Factoring

We start by creating a table and writing 1 on the left side and then the number we're trying to find the factors for on the right side in a table. Then, below that, write the numbers as a negative as well.

1 3,655,355
-1 -3,655,355

Why are the negative numbers included?

When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 3,655,355.

Example:
1 x 3,655,355 = 3,655,355
and
-1 x -3,655,355 = 3,655,355
Notice both answers equal 3,655,355

With that explanation out of the way, let's continue. Next, we take the number 3,655,355 and divide it by 2:

3,655,355 ÷ 2 = 1,827,677.5

If the quotient is a whole number, then 2 and 1,827,677.5 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 3,655,355
-1 -3,655,355

Now, we try dividing 3,655,355 by 3:

3,655,355 ÷ 3 = 1,218,451.6667

If the quotient is a whole number, then 3 and 1,218,451.6667 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 3,655,355
-1 -3,655,355

Let's try dividing by 4:

3,655,355 ÷ 4 = 913,838.75

If the quotient is a whole number, then 4 and 913,838.75 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 3,655,355
-1 3,655,355
Keep dividing by the next highest number until you cannot divide anymore.

If you did it right, you will end up with this table:

151141552054511,6212,2558,10517,83166,46189,155332,305731,0713,655,355
-1-5-11-41-55-205-451-1,621-2,255-8,105-17,831-66,461-89,155-332,305-731,071-3,655,355

More Examples

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